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Finding the Fourth Proportional to 246.88, 340.71 and 180.51

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Solution

The fourth proportional to 246.88, 340.71 and 180.51 is: 249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.88 : 340.71 = 180.51 : x
  2. Step 2: Convert to fraction form
    246.88/340.71 = 180.51/x
  3. Step 3: Cross multiply
    246.88x = 340.71 × 180.51
  4. Step 4: Simplify right side
    246.88x = 61,501.56
  5. Step 5: Solve for x
    x = 61,501.56/246.88
  6. Step 6: Final answer
    x = 249.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.